1. Angle Relationships
By Mr. Q

2. Adjacent Angles Two angles with common vertex Have common sides
Interior angles do not overlap

3. Supplementary Angles Two angles whose measures equal 180 degrees ??

4. Vertical Angles Also called opposite angles
When two lines intersect, the opposite angles are equal
<1 = <3
<2 = <4 2 1 3 4

5. Polygon Can be divided into triangles
Sum of interior angles in a triangle = 180 d
To find the sum of the measures of all angles in a polygon:
Multiply the number of triangles by 180°

6. Steps to find the sum of the angles in a polygon
Draw polygon (geometry template)
Divide polygon into triangles
Multiply the number of triangles by 180°

7. Rule
Number of sides a polygon has MINUS 2 = the number of triangles it can be divided into
Example: Square
4 sides – 2 = 2 triangles
2 * 180° = 360°

8. Table Polygon Number of sides
Number of sides –2 is the number of triangles that can be made
Number of triangles * 180 is the sum of the angles for this polygon
Triangle 3
3-2 = 1
1 * 180 = 180
Quadrangle 4
4-2 = 2
2 * 180 = 360
Pentagon 5
5-2=3
3 * 180 = 540
Hexagon 6
6-2=4
4 * 180 = 720

9. Transversal A line that crosses two lines
Any two angles formed by the line and transversal are:
Vertical or supplementary angles